Select the correct set builder notation for the phrase: "The set of all y-values such that y is greater than or equal to -3."(1 point)
Responses
{y| y≥−3}
{y| y≥−3}
{y| y∈R}
{y| y∈R}
{y| y≤−3}
{y| y≤−3}
{y| y=−3 ,−2, −1, 0, ...}
{y| y≥−3}
The correct set builder notation for the phrase "The set of all y-values such that y is greater than or equal to -3" is:
{y | y ≥ -3}
The correct set builder notation for the phrase "The set of all y-values such that y is greater than or equal to -3" is {y | y ≥ -3}.
To understand why this is the correct notation, let's break it down:
- The symbol { } denotes a set.
- The vertical bar | separates the variable (in this case, y) from the condition or property that the values of y must satisfy.
- The condition in this case is y ≥ -3, which means that the values of y must be greater than or equal to -3.
Therefore, {y | y ≥ -3} represents the set of all possible y-values that satisfy the condition y ≥ -3.